420247584 has 144 divisors (see below), whose sum is σ = 1256411520. Its totient is φ = 133056000.

The previous prime is 420247579. The next prime is 420247609. The reversal of 420247584 is 485742024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559209 + ... + 559959.

It is an arithmetic number, because the mean of its divisors is an integer number (8725080).

Almost surely, 2^420247584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420247584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628205760).

420247584 is an abundant number, since it is smaller than the sum of its proper divisors (836163936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420247584 is a wasteful number, since it uses less digits than its factorization.

420247584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 420247584 is about 20499.9410730860. The cubic root of 420247584 is about 749.0343625928.

It can be divided in two parts, 420 and 247584, that added together give a square (248004 = 498²).

The spelling of 420247584 in words is "four hundred twenty million, two hundred forty-seven thousand, five hundred eighty-four".